From 920f4b3b386bd284e1cf2234cd5d9f20907dd7ef Mon Sep 17 00:00:00 2001 From: utkarsh Date: Fri, 2 Oct 2020 13:28:18 +0530 Subject: [PATCH] Added FloydWarshall All Pairs Shortest Path Algo --- Graphs/FloydWarshall.js | 48 +++++++++++++++++++++++++++++++++++++++++ 1 file changed, 48 insertions(+) create mode 100644 Graphs/FloydWarshall.js diff --git a/Graphs/FloydWarshall.js b/Graphs/FloydWarshall.js new file mode 100644 index 0000000000..67c41e135c --- /dev/null +++ b/Graphs/FloydWarshall.js @@ -0,0 +1,48 @@ +/* + Source: + https://en.wikipedia.org/wiki/Floyd%E2%80%93Warshall_algorithm + + Complexity: + O(|V|^3) where V is the set of vertices +*/ + +const FloydWarshall = (dist) => { + // Input:- dist: 2D Array where dist[i][j] = edge weight b/w i and j + // Output:- dist: 2D Array where dist[i][j] = shortest dist b/w i and j + const n = dist.length + for (let k = 0; k < n; k++) { + for (let i = 0; i < n; i++) { + for (let j = 0; j < n; j++) { + if (dist[i][j] > dist[i][k] + dist[k][j]) { + // dist from i to j via k is lesser than the current distance + dist[i][j] = dist[i][k] + dist[k][j] + } + } + } + } + return dist +} + +const main = () => { + // For the following graph (edge weights are shown in brackets) + // 4 1 dist[1][2] = dist[2][1] = 1 + // \ (2)/ \ dist[1][3] = dist[3][1] = 2 + // \ / \(1) dist[1][4] = dist[4][1] = Infinity + // (1)\ / \ dist[3][4] = dist[4][3] = 1 + // 3 2 dist[2][4] = dist[4][2] = Infinity + // dist[2][3] = dist[3][2] = Infinity + // Output should be: + // [ [0, 1, 2, 3], + // [1, 0, 3, 4], + // [2, 3, 0, 1], + // [3, 4, 1, 0] ] + console.log(FloydWarshall( + [[0, 1, 2, Infinity], + [1, 0, Infinity, Infinity], + [2, Infinity, 0, 1], + [Infinity, Infinity, 1, 0] + ] + )) +} + +main() pFad - Phonifier reborn

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